# The width of the rectangle is 1/3 of its length, the perimeter is 4 meters, find the area.

June 30, 2021 | education

| Answer: 3/4 or 0.75m2.

Suppose that the length of this rectangle is X m.

Accordingly, its width will be (X * 1/3) m.

Considering that the perimeter (the sum of the lengths of all its sides) is 4 m, we get:

2 * (X + X * 1/3) = 4

2X + 2 / 3X = 4

8 / 3X = 4

8X = 12

X = 12: 8

X = 3/2,

those. the length of this rectangle is 3/2 m, and the width will be 3/2 * 1/3 = 1/2 m.

The area of a given rectangle is the product of its length and width, i.e.

3/2 * 1/2 = 3/4 = 0.75 (m2).

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